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Fill in the blank:
If the angle between two vectors is 180 degrees, then their magnitudes are ________.
The magnitudes are equal.
The magnitudes are zero.
The magnitudes are negative.
The magnitudes cannot be determined.
If vector A has a magnitude of 5 and vector B has a magnitude of 8, then the possible range for the magnitude of the sum A + B is ________.
3 to 13
8 to 13
0 to 13
5 to 8
What is the result of adding two collinear vectors?
The sum is always zero.
The sum is the vector with the maximum magnitude.
The sum is the vector with the minimum magnitude.
The sum depends on the direction of the vectors.
What is the identity element for vector addition?
The zero vector
A unit vector
The negative of a vector
The sum of the vectors
Vector addition is associative, which means that:
Vectors can only be added in a certain order.
The result of addition depends on the magnitudes of the vectors.
→ → → → → →
(A + B) + C = A + (B + C)
Vector addition is not defined for more than two vectors.
Is this statement true or false?
If the angle between two vectors is 90 degrees, then the dot product is negative.
True
False
The magnitude of the resultant of vector addition is maximum when the angle between the vectors is:
0 degrees
45 degrees
180 degrees
90 degrees
Maximum 3 number of coplanar vectors that can be added together to obtain a nonzero resultant.
The resultant of adding two vectors is zero. The angle between these vectors is ________.
The angle is 0 degrees.
The angle is 90 degrees.
The angle is 180 degrees.
The angle cannot be determined.
When adding vectors, their direction matters. Which property reflects this fact?
Associative property
Commutative property
Distributive property
None of the above
It is done.